Home / 2,110.16-2,912.84-1,282

Finding the Fourth Proportional to 2,110.16, 2,912.84 and 1,282

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Solution

The fourth proportional to 2,110.16, 2,912.84 and 1,282 is: 1,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.16 : 2,912.84 = 1,282 : x
  2. Step 2: Convert to fraction form
    2,110.16/2,912.84 = 1,282/x
  3. Step 3: Cross multiply
    2,110.16x = 2,912.84 × 1,282
  4. Step 4: Simplify right side
    2,110.16x = 3,734,260.88
  5. Step 5: Solve for x
    x = 3,734,260.88/2,110.16
  6. Step 6: Final answer
    x = 1,769.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.